Integrable open spin-chains in AdS3/CFT2 correspondences

TL;DR

This paper explores integrable open spin-chain models in AdS3/CFT2, connecting boundary conditions to D-brane configurations and deriving reflection matrices that satisfy integrability constraints.

Contribution

It introduces new integrable boundary conditions for specific superalgebra spin-chains and constructs reflection matrices linked to D-brane geometries.

Findings

Derived reflection matrices satisfying boundary Yang-Baxter equation.

Mapped magnon excitations to superstring states on D-branes.

Connected integrable boundaries to D1- and D5-brane giant gravitons.

Abstract

We study integrable open boundary conditions for d(2,1;\alpha)^2 and psu(1,1|2)^2 spin-chains. Magnon excitations of these open spin-chains are mapped to massive excitations of type IIB open superstrings ending on D-branes in the AdS_3 x S^3 x S^3 x S^1 and AdS_3 x S^3 x T^4 supergravity geometries with pure R-R flux. We derive reflection matrix solutions of the boundary Yang-Baxter equation which intertwine representations of a variety of boundary coideal subalgebras of the bulk Hopf superalgebra. Many of these integrable boundaries are matched to D1- and D5-brane maximal giant gravitons.